Asymptotic binary Goldbach and Lemoine conjecture

Let nn be an even positive integer. An odd prime is a prime number other than 22. Asymptotic binary Goldbach and Lemoine conjecture. For every sufficiently large even number nn, there exist odd primes pmp_m, ptp_t, and pop_o with (pm,n)=1(p_m,n)=1 such that

pmpopmpt(modn).p_mp_o\equiv -p_mp_t\pmod n.

This is a congruence assertion involving products of odd primes modulo sufficiently large even integers. The supplied text gives no resolution or further context for the conjecture.

Sources & referencesView supporting material

Primary source

Theophilus Agama and Berndt Gensel, “The Asymptotic Binary Goldbach and Lemoine Conjectures”, arXiv:1709.05335 (2026).

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